A sample of 1500 people from a certain industrial community showed that 800 people suffered from a lung disease. A sample of 1000 people from a rural community showed that 300 suffered from the same lung disease. Assume these two proportions give good estimates of population proportions, respectively. Find the probability that the difference of the proportions (industrial - rural) is greater than 0.2 if two samples of size 150 and 100 are drawn from the two populations, respectively.

Answers

Answer 1

Answer:

The probability that the difference of the proportions (industrial - rural) is greater than 0.2 is 0.7054

Step-by-step explanation:

Solution

Given that:

n₁ = 1500

x₁ = 800

p₁ =800/1500 =0.533

q₁ = 1- 0.533 = 0.467

Thus,

n₂ =1000

x₂ = 300

p₂ = 300/1000 = 0.3

q₂ = 1-0.3 =0.7

So,

p₁ - p₂ = 0.533 - 0.3

=0.233

Now,

SE (p₁ - p₂ ) =√0.533 * 0467/150 + 0.3 * 0.7/1000

=0.0613

So,

p ( p₁ - p₂  > 0.2

= p ( Ƶ > 0.2 - 0.233/0.0613

p = ( Ƶ > - 0.54)

= 0.7054


Related Questions

what is an example of a situation that you might be able to use an equation with a single unknown to understand

Answers

Answer:An example of a situation that you might not be able to use an equation with a single unknown is

Step-by-step explanation:

beep boop bop!

To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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what is the range of ordered pairs shown in the graph?

I WILL MARK BRAINLIEST

what is the range of ordered pairs shown in the graph? I WILL MARK BRAINLIEST

Answers

The set that represents the range of the function given is -

{-2, 0, 3, 5}

What is range of a function?

The range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain.

Given is a graph as shown in the image.

For the given graph, the set of {y} coordinates represent the range of the function. So, the set that represents the range of the function given is -

{-2, 0, 3, 5}

Therefore, the set that represents the range of the function given is -

{-2, 0, 3, 5}

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How much water do
you add to make each
concentration?
1% sugar syrup using 12 g sugar

Answers

Answer:

1188

Step-by-step explanation:

i checked it in an RSM portal, it is correct

what is the range of the function in this table

what is the range of the function in this table

Answers

Answer:

B

Step-by-step explanation:

RANGE  are the Y values

Answer:

b

Step-by-step explanation:

What is the cos A?Will give 15 points.

What is the cos A?Will give 15 points.

Answers

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Can someone answer this for me please show every steps for it

Can someone answer this for me please show every steps for it

Answers

Answer:

x1=8 x2=-8

Step-by-step explanation:

since there is absolute , means any number inside that has negative value will become positive. so the answer is -8 and 8

sorry late reply :(

What is the mean for the set of data?
Rubric Test Score

xx. X. Xx. Xx. Xxx
1 2 3 4 5
Score

Answers

Answer: 3.3
Steps: 1) 1+1+2+3+3+4+4+5+5+5=33
2) 33/10=3.3

I really need help with this

I really need help with this

Answers

I am not sure I never had something like that before

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?

The graph of a function is shown on the coordinate plane below. Which statement correctly describes the

Answers

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

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The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in cubic
units?

2/3pix³
4/3pix²
2pix³
4pix³

PLEASE HELP!!!!!!!!

Answers

Answer:

2/3pix³ or \(\frac{2}{3} \pi x^3\\\)

Step-by-step explanation:

This problem brothers on the mensuration of solid shapes, a cone.

we know that the expression for the volume of a cone is

\(volume= \frac{1}{3} \pi r^2h\)

let the radius r of the cone be= \(x\)

and the height h is =\(2x\)

we can now solve the expression that represents the volume of the cone, in cubic  units.

\(volume= \frac{1}{3} \pi *x*2x\\\volume= \frac{1}{3} \pi *2x^3\\\volume= \frac{2}{3} \pi x^3\\\)

Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.

BoundFigure 2.Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he

Answers

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

How to determine  the monthly instalment price and instalment price that Daikin needs to pay.

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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When Ricardo was years old, he was 56
inches tall. Ricardo is now layears old
and he is 62 inches tall. Determine the
percent of increase in Ricardo's height to
the nearest tenth.

Answers

6% should be the answer

A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.

Answers

Please find full question attached

Answer:

6584.4595( to four decimal places)

Explanation:

Please find full explanation attached

A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one
A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one
A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one

CAN SOMEONE HELP WITH THIS QUESTION?

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.

If there is 6 grams of solid at time t, then f(t) = 6 g.

To estimate the amount of solid 1 second later, we can use the derivative formula:

f'(t) = −2f(t)(5+ f(t))

We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.

To do this, we can use Euler's method, which is an approximation method for solving differential equations.

Euler's method uses the formula:

f(t+1) ≈ f(t) + f'(t)Δt

where Δt is the time step (in minutes).

Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.

Plugging in the values for f(t) and f'(t), we get:

f(t+1) ≈ f(t) + f'(t)Δt

f(t+1) ≈ 6 - 2(6)(5+6)

f(t+1) ≈ -66

Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.

It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.

or maybe im just bad at maths

Which equation is lineear?

Which equation is lineear?

Answers

Answer: i belive its D linear equations have y= mx+b

Step-by-step explanation:

The graph of the quadratic function y=-x^2-2x+3.What statement about the graph is true.select all that apply.

The graph of the quadratic function y=-x^2-2x+3.What statement about the graph is true.select all that

Answers

Answer:

the graph has an x intercept at 1, 0 has a vertex of -1,4 axis of symmetry x = -1 relative min of -1, 4has the roots of 3 and 1

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 3, 5

Answers

square both numbers and equal them to c squared and then add up the numbers and find the square root. it would be 5.8

Step-by-step explanation:

use the pythagorean theorem to find the length of the leg in the triangle below

Find the missing number of
ou each unit rate.
21/7 = ?/1 and 72/12 = ?/1

Answers

Answer:

21/7 and 72/12

Step-by-step explanation:

As the "?" are both at the numerator we just multiply by the denominator of the question mark (that is 1) so they remain the same.

Which pair of numbers is the greatest common factor 15?​

Which pair of numbers is the greatest common factor 15?

Answers

Answer:

The answer is 3 and 5

Step-by-step explanation:

3 and 5 is 15 (correct)

10 and 25 is 250 (not correct)

30 and 60 is 1800 (not correct)

60 and 75 is 450 (not correct)

Are all intersecting lines perpendicular? Draw a picture to help explain your answer

Answers

Not all intersecting lines are perpendicular.

What are perpendicular lines?

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

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Are all intersecting lines perpendicular? Draw a picture to help explain your answer

HELP ASAP!!!!

What is the minimum using this equation?

y=0.04x^2+0.84x+2

Answers

-10.5

the max is -2.41
let me know if you need examples

I need help I don’t understand please help .

I need help I dont understand please help .

Answers

The standard form of 2i/1 + 3i is 3/5 + (1/5)i.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2i/(1 + 3i)
Rationalize the denominator.

= 2i/(1 + 3i) x (1 - 3i)/(1 - 3i)

= (2i + 6)/(1² - (3i)²)                [ i = √-1, i² = -1 ]
= (2i + 6)/(1 + 9)

= (2i + 6)/10

= 2i/10 + 6/10
= i/5 + 3/5

= 3/5 + (1/5)i

Thus,

The standard form is 3/5 + (1/5)i.

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Approximately 78.9% of high school students in the United States have an iPhone. if a random sample of 50 students is selected what is the probability that less than 75% of the sample students have iPhones?

Answers

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.

Answers

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

What does "company" mean?

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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I NEED HELP ASAP
Find the distance,d,of AB A=(-3,4) B=(5,8)
\(d= \sqrt{(x2-x1)^2 + (y2-y1)^2} \)

I NEED HELP ASAPFind the distance,d,of AB A=(-3,4) B=(5,8)[tex]d= \sqrt{(x2-x1)^2 + (y2-y1)^2} [/tex]

Answers

The distance between the points A(-3, 4) and B(5, 8) is given as follows:

8.9 units.

How to obtain the distance between two points?

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The points A and B in the context of this problem have the coordinates given as follows:

A(-3, 4) and B(5, 8).

Hence the distance between these two points is obtained as follows:

d = sqrt((5 - (-3))² + (8 - 4)²)

d = sqrt(64 + 16)

d = 8.9 units.

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he demand for walnut pastries at Joanne's Bakery on Saturday mornings is N(30, 8). Joanne currently makes 36 walnut pastries for Saturday mornings. If four Saturday mornings are randomly selected, what is the probability that Joanne will have run out of walnut pastries on every one of the Satu

Answers

Answer:

0.22663

Step-by-step explanation:

Given that:

N(30, 8)

Normal distribution :

Mean(m) = 30

Standard deviation (s) = 8

X = 36

To run out of pastries then demand is greater than 36

Zscore = (X - m) / s

Zscore = (36 - 30) / 8

Zscore = 0.75

P(Z > 0.75) = 1 - P(Z < 0.75)

P(Z < 0.75) = 0.77337

P(Z > 0.75) = 1 - 0.77337

= 0.22663

Which statement is true about the function f(x) = 6x7?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).

Answers

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

How to determine the true statement?

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y

Answers

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS

A
$432
B
$648
C
$2,160
D
$3,024

Natalya designed a patio for her backyard. The two bricksections will be the same size and concrete fills

Answers

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Mias gross income is 50,000 per year how much long term disability insurance should she purchase evaluate y 9-(-9) =? Six times the quantity, x-2, is 24. Find the number Imagine that you are a Briton reading this in 1841. How might you react? Explain. 28 percent of the employees at a large biotech firm are working from home. [you may find it useful to reference the z table.] a. in a sample of 50 employees, what is the probability that more than 26% of them are working from home? (round final answer to 4 decimal places.) b. in a sample of 190 employees, what is the probability that more than 26% of them are working from home? (round final answer to 4 decimal places.) c. comment on the reason for the difference between the computed probabilities in parts a and b. multiple choice as the sample number increases, the probability of more than 26% also increases, due to the lower z value and decreased standard error. as the sample number increases, the probability of more than 26% also increases, due to the lower z value and increased standard error. angles between parallel lines find angles a, b, c, d help ASAP its due today and ty Which one of these situations would have higher density water?Question options:Water at the equatorLower temperature waterWater with a lower salt contentWater near where a river enters the ocean Name the departments, offices, or agencies that were created by the Dodd -Frank legislation when a star has consumed all its hydrogen its core shrinks and its surface expands. such a star is very cool by compariosn to other stars these stars are known as 4 divided by 9.48 hii A stallholder bought x bowls for $32.(a) Write down an expression, in terms of x, for the price in dollars, he paid for each bowl.(b)The stallholder proposed to sell each bowl at a profit of $1.50. Show that his proposed selling price for each bowl was $ (64+3x)/2x(c)He sold 10 bowls at this price. Write down an expression, in terms of x, for the sum of money in dollars he received for 10 bowls.(d)The stallholder sold the remaining bowls at $2 each. Write down an expression, in terms of x, for the sum of money in dollars he received for them.(e)Given that the stallholder received $83 altogether, form an equation in x and show thatit reduces to x^2 - 44x + 160 = 0.(f)Hence solve x^2 - 44x + 160 = 0 to find the number of bowls bought by the stallholder. A linear function is given in the box y = 2x - 5 Which point lies on this line? A. (-2, -9) B. (-1, -6) C. (0,0) D. (2,5) ABC is a right-angled triangle Solve the system. 3x - 2y = 12 and 3x - 3y = -2 Solve |2x-8| > 4 graph the solutions on the number line Lily feels tired and weak in the evenings after work. Before starting her chores, she eats dinner. Which characteristic of life does Lily exhibit? suppose the current gbp/usd bid/offer quote is 1.2430-37. what is the bid/offer spread? review later 7 pips 0.0007 pips 0.07 pips 70 pips The Byzantine Empire includes lands on which two continents? (1300 C.E.) How did the truman doctrine propose to stop the spread of communism into greece and turkey?.